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Finding the Fourth Proportional to 2,380.28, 3,282.94 and 1,819.34

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Solution

The fourth proportional to 2,380.28, 3,282.94 and 1,819.34 is: 2,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.28 : 3,282.94 = 1,819.34 : x
  2. Step 2: Convert to fraction form
    2,380.28/3,282.94 = 1,819.34/x
  3. Step 3: Cross multiply
    2,380.28x = 3,282.94 × 1,819.34
  4. Step 4: Simplify right side
    2,380.28x = 5,972,784.06
  5. Step 5: Solve for x
    x = 5,972,784.06/2,380.28
  6. Step 6: Final answer
    x = 2,509.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.